Dirty Jobs just aired a special episode that I think is on point. The episode introduced the mantra, "Safety third." This is not to say that Safety is unimportant, but that in every case, the safest course is to not engage in an activity with risk. If you put safety first, you won't get anything done at all.
Now, the reason Mike Rowe had safety 3rd was that first was getting the job done (or at least, making a decent attempt) and second was making entertaining television. In most cases, I dare say the 2nd qualification doesn't apply, so Safety coming in second is a better expectation. I actually think Mike was being cavalier by suggesting that Safety is always in the top ten and often the top five. I'd hesitate to keep it out of the top 3 on any occasion, but life wouldn't be worth living if safety truly always came first.
It's doubly ironic that I bring up Dirty Jobs in combination with a discussion about NASA. One of the segments in this very episode lambasted NASA for putting the Dirty Jobs crew through a safety briefing about confined space safety concerns that they were in no way going to actually encounter doing the work that they were going to film. Your tax dollars at work.